Cubic forms and complex 3-folds
type: Item
instance of: scholarly article
title: Cubic forms and complex 3-folds
zbMATH Open document ID: 0869.14018
author: Christian Okonek
author: Ton van de Ven
published in: L'Enseignement Mathématique. 2e Série
publication date: 1996-07-14T00:00:00Z
review text: The topological classification of 1-connected, closed, oriented, 6-dimensional manifolds with torsion free homology was carried out by several authors by using a suitable system of 6 algebraic invariants, the most important of which is the cup form. In this paper the authors survey these results and study the symmetric trilinear forms: They give a criterion for the realisability of such a form as a cup product and they study its algebraic and arithmetical properties. Then they consider the question of the realisability of complex cubic forms by complex manifolds, giving many interesting examples and some condition for Kähler manifolds.
Mathematics Subject Classification ID: 14J30
Mathematics Subject Classification ID: 32J17
Mathematics Subject Classification ID: 11E76
zbMATH DE Number: 871686
zbMATH Keywords: symmetric trilinear forms
zbMATH Keywords: cup product
zbMATH Keywords: complex cubic forms
reviewed by: Luciana Picco Botta
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 871686